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Finding the Fourth Proportional to 280,129,095.60, 420,193,643.40 and 276,302,720.40

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Solution

The fourth proportional to 280,129,095.60, 420,193,643.40 and 276,302,720.40 is: 414,454,080.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,129,095.60 : 420,193,643.40 = 276,302,720.40 : x
  2. Step 2: Convert to fraction form
    280,129,095.60/420,193,643.40 = 276,302,720.40/x
  3. Step 3: Cross multiply
    280,129,095.60x = 420,193,643.40 × 276,302,720.40
  4. Step 4: Simplify right side
    280,129,095.60x = 116,100,646,766,207,488
  5. Step 5: Solve for x
    x = 116,100,646,766,207,488/280,129,095.60
  6. Step 6: Final answer
    x = 414,454,080.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.